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Finding the Fourth Proportional to 2,783.45, 4,175.50 and 934.70

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Solution

The fourth proportional to 2,783.45, 4,175.50 and 934.70 is: 1,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.45 : 4,175.50 = 934.70 : x
  2. Step 2: Convert to fraction form
    2,783.45/4,175.50 = 934.70/x
  3. Step 3: Cross multiply
    2,783.45x = 4,175.50 × 934.70
  4. Step 4: Simplify right side
    2,783.45x = 3,902,816.64
  5. Step 5: Solve for x
    x = 3,902,816.64/2,783.45
  6. Step 6: Final answer
    x = 1,402.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.